+1-844-414-9223 Air Transat provides several ways for passengers to book their flights: online, by phone, or in person at the airport. There are a few steps that must be taken in order to book an Air Transat flight. You can select a one-way, return, or multi-city trip by going to TheAirlinesInfo's official website. Search for flights by selecting your starting and ending points, the date of your trip, the number of passengers, and your desired class of travel.